Lyapunov fractal

Known as: Lyapunov, Markus-Lyapunov fractal 
In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map… (More)
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Papers overview

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Review
2017
Review
2017
Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both in theory and applications. They… (More)
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Review
2017
Review
2017
This article presents basic concepts and recent research directions about the stability of sampled-data systems with aperiodic… (More)
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Highly Cited
2005
Highly Cited
2005
  • Luc Moreau
  • IEEE Transactions on Automatic Control
  • 2005
We study a simple but compelling model of network of agents interacting via time-dependent communication links. The model finds… (More)
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Highly Cited
2004
Highly Cited
2004
In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three… (More)
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Highly Cited
2002
Highly Cited
2002
This book provides a systematic introduction to smooth ergodic theory, including the general theory of Lyapunov exponents… (More)
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Highly Cited
1998
Highly Cited
1998
In this paper, we introduce some analysis tools for switched and hybrid systems. We first present work on stability analysis. We… (More)
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Highly Cited
1996
Highly Cited
1996
We investigate the predictability problem in dynamical systems with many degrees of freedom and a wide spectrum of temporal… (More)
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Highly Cited
1993
Highly Cited
1993
Detecting the presence of chaos in a dynamical system is an important problem that is solved by measuring the largest Lyapunov… (More)
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Highly Cited
1991
Highly Cited
1991
A direct adaptive tracking control architecture is proposed and evaluated for a class of continuous-time nonlinear dynamic… (More)
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Highly Cited
1985
Highly Cited
1985
We present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series… (More)
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